Stability analysis for interconnected systems with “mixed” passivity, negative-imaginary and small-gain properties

Author

Das, Sajal K. ; Pota, Hemanshu R. ; Petersen, Ian R.

Author_Institution

Sch. of Eng. & Inf. Technol. (SEIT), Univ. of New South Wales at Australian Defence Force Acad. (UNSW@ADFA), Canberra, ACT, Australia

fYear

2013

fDate

4-5 Nov. 2013

Firstpage

201

Lastpage

206

Abstract

An analytical framework to examine the finite-gain stability for a positive feedback interconnection between two stable, linear time-invariant systems where one system has “mixed” passivity, negative-imaginary and small-gain properties and the other system has “mixed” negative-imaginary, negative-passivity, and small-gain properties is proposed. A classical Nyquist argument is used to examine the stability of the interconnected systems and the usefulness of the proposed framework is illustrated by a numerical example.

Keywords

Nyquist diagrams; Nyquist stability; interconnected systems; numerical analysis; Nyquist argument; analytical framework; finite-gain stability analysis; interconnected system stability; mixed-passivity properties; negative-imaginary properties; numerical analysis; positive feedback interconnection; small-gain properties; stable-linear time-invariant systems; Force; Nickel; Numerical stability; Sensors; Stability analysis; Time invariant systems; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (AUCC), 2013 3rd Australian

Conference_Location

Fremantle, WA

Print_ISBN

978-1-4799-2497-4

Type

conf

DOI

10.1109/AUCC.2013.6697273

Filename

6697273